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Standard Equation of a Circle
The standard equation of a circle with center (h,k) and radius r is (x-h)²+(y-k)²=r²
Arc Addition Postulate
The measure of an arc formed by two adjacent arcs is the sum of the measures of the two arcs
In a plane, a line is tangent to a circle IFF
the line is perpendicular to a radius of the circle at its endpoint on the circle
In the same circle, or in congruent circles, two minor arcs are congruent IFF
their corresponding chords are congruent
If a diameter of a circle is perpendicular to chord,
then the diameter bisects the chord and its arc
In the same circle, or in congruent circles, two chords are congruent IFF
they are equidistant from the center
Measure of an Inscribed Angle Theorem
The measure of an inscribed angle is one half the measure of its intercepted arc
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